수학동아 - 폴리매스

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함께 풀고 싶은 문제

창의력을 기를 수 있는 수학 문제 또는 퍼즐을 내는 곳입니다.

[창의 퍼즐] 막대기 자르기 일반화

MathlabJ 2020.04.09 22:18 조회 867

문제 푼 사람 0명

페이스북 트위터 카카오톡 카카오스토리 네이버블로그 네이버밴드

한 막대기의 앞면에는 막대기를 m등분하는 눈금이 그려져있고, 뒷면에는 막대기를 n등분하는 눈금이 그려져있다.

앞뒷면의 모든 눈금을 따라 막대기를 잘랐을때 생기는 조각의 수를 f(m,n)이라고 할때, f(m,n)을 m, n에 대한 식으로 어떻게 표현할 수 있을까?

막대기 자르기 문제의 일반화입니다.

풀이 필수!

이전글 막대기 자르기

다음글 ABC

이 문제 어떠셨나요?

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△π Lv.9 2020.04.10 00:22 비밀댓글

확인요청중

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